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241144126992 = 24321674611993
BaseRepresentation
bin1110000010010101001…
…1110101111000010000
3212001102202012220011200
43200211103311320100
512422330344030432
6302440255311200
723264530155006
oct3404523657020
9761382186150
10241144126992
11932a563383a
123a89a81b500
1319980432552
14b9585d6a76
15641560ba7c
hex38254f5e10

241144126992 has 30 divisors (see below), whose sum is σ = 674868633582. Its totient is φ = 80381375616.

The previous prime is 241144126961. The next prime is 241144127023. The reversal of 241144126992 is 299621441142.

241144126992 is a `hidden beast` number, since 241 + 144 + 1 + 269 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (241144126961) and next prime (241144127023).

It can be written as a sum of positive squares in only one way, i.e., 189831004416 + 51313122576 = 435696^2 + 226524^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 837305853 + ... + 837306140.

Almost surely, 2241144126992 is an apocalyptic number.

It is an amenable number.

241144126992 is an abundant number, since it is smaller than the sum of its proper divisors (433724506590).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

241144126992 is a wasteful number, since it uses less digits than its factorization.

241144126992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674612007 (or 1674611998 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The spelling of 241144126992 in words is "two hundred forty-one billion, one hundred forty-four million, one hundred twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1674611993 3349223986 5023835979 6698447972 10047671958 13396895944 15071507937 20095343916 26793791888 30143015874 40190687832 60286031748 80381375664 120572063496 241144126992